102039996240 has 1920 divisors, whose sum is σ = 482304844800. Its totient is φ = 19564167168.

The previous prime is 102039996221. The next prime is 102039996251. The reversal of 102039996240 is 42699930201.

It is a happy number.

102039996240 is a `hidden beast` number, since 10 + 2 + 0 + 3 + 9 + 9 + 9 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3518620546 + ... + 3518620574.

It is an arithmetic number, because the mean of its divisors is an integer number (251200440).

Almost surely, 2^102039996240 is an apocalyptic number.

102039996240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102039996240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241152422400).

102039996240 is an abundant number, since it is smaller than the sum of its proper divisors (380264848560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102039996240 is a wasteful number, since it uses less digits than its factorization.

102039996240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 102039996240 in words is "one hundred two billion, thirty-nine million, nine hundred ninety-six thousand, two hundred forty".